What is the Greatest Common Factor of 97800 and 97820?

Greatest common factor (GCF) of 97800 and 97820 is 20.

GCF(97800,97820) = 20

We will now calculate the prime factors of 97800 and 97820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97800 and 97820.

How to find the GCF of 97800 and 97820?

We will first find the prime factorization of 97800 and 97820. After we will calculate the factors of 97800 and 97820 and find the biggest common factor number .

Step-1: Prime Factorization of 97800

Prime factors of 97800 are 2, 3, 5, 163. Prime factorization of 97800 in exponential form is:

97800 = 2³ × 3¹ × 5² × 163¹

Step-2: Prime Factorization of 97820

Prime factors of 97820 are 2, 5, 67, 73. Prime factorization of 97820 in exponential form is:

97820 = 2² × 5¹ × 67¹ × 73¹

Step-3: Factors of 97800

List of positive integer factors of 97800 that divides 97800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 163, 200, 300, 326, 489, 600, 652, 815, 978, 1304, 1630, 1956, 2445, 3260, 3912, 4075, 4890, 6520, 8150, 9780, 12225, 16300, 19560, 24450, 32600, 48900

Step-4: Factors of 97820

List of positive integer factors of 97820 that divides 97800 without a remainder.

1, 2, 4, 5, 10, 20, 67, 73, 134, 146, 268, 292, 335, 365, 670, 730, 1340, 1460, 4891, 9782, 19564, 24455, 48910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97800 and 97820. The biggest common factor number is the GCF number.
So the greatest common factor 97800 and 97820 is 20.

Also check out the Least Common Multiple of 97800 and 97820